Surfaces in 4-Space, written by leading specialists in the
field, discusses knotted surfaces in 4-dimensional space and
surveys many of the known results in the area. Results on knotted
surface diagrams, constructions of knotted surfaces, classically
defined invariants, and new invariants defined via quandle homology
theory are presented. The last chapter comprises many recent
results, and techniques for computation are presented. New tables
of quandles with a few elements and the homology groups thereof are
included.
This book contains many new illustrations of knotted surface
diagrams. The reader of the book will become intimately aware of
the subtleties in going from the classical case of knotted circles
in 3-space to this higher dimensional case.
As a survey, the book is a guide book to the extensive
literature on knotted surfaces and will become a useful reference
for graduate students and researchers in mathematics and
physics.
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